Statistics Calculator
Complete Data Summary Tool
Enter your full list of numbers to get every common summary statistic at once. Looking for just standard deviation, or just mean/median/mode/range? Try the narrower Standard Deviation Calculator or Mean, Median, Mode & Range Calculator instead.
The Complete Statistics Summary
This calculator is the broad, all-in-one companion to two more focused tools on this site: the Standard Deviation Calculator and the Mean, Median, Mode & Range Calculator. Use this page when you want every statistic at once; use those pages when you only need their specific slice.
Mean, median, and mode describe where your data is centered. Range, variance, and standard deviation describe how spread out it is around that center — together they paint a complete picture of your data's shape.
Quartiles split your sorted data into four equal parts. The interquartile range (the middle 50%) is a spread measure that resists distortion from outliers, making it a favorite for box plots and outlier detection.
Key Formulas
Population Standard Deviation
Sample Standard Deviation
Interquartile Range: IQR = Q3 − Q1, using the exclusive median method to find Q1 and Q3.
When to Use This vs. the Focused Calculators
This Statistics Calculator deliberately overlaps in scope with the Standard Deviation Calculator and the Mean/Median/Mode/Range Calculator — that's by design. If you already know exactly which one or two statistics you need, the narrower, faster-to-read tools are the better fit. If you want a full statistical snapshot of a data set — for a report, a homework assignment, or exploratory analysis — this page gives you everything, including quartiles and IQR that the narrower tools don't cover, in one calculation.
Quartiles divide sorted data into four equal-sized groups.
The interquartile range covers the middle half of your data.
Population and sample versions are both computed automatically.
Every statistic is computed together from the same list.
Key Takeaways
- This is the broad summary tool. For a faster, more focused read, use the dedicated Standard Deviation or Mean/Median/Mode/Range calculators instead.
- Quartiles use the exclusive median method, a standard, widely-taught convention for splitting sorted data.
- Population and sample statistics are both shown so you can pick the one that matches your data's context.
- IQR resists outliers better than the full range, making it useful for spotting unusual values.
Frequently Asked Questions
- Type a number into each row.
- Click "Add Number" to add more rows, or the icon to remove a row.
- Click "Calculate" to see every summary statistic — mean, median, mode, range, variance, standard deviation, quartiles, and more — in one pass.
This Statistics Calculator is deliberately the broad, do-it-all summary tool — it computes everything those two narrower calculators do, plus quartiles and IQR, in a single pass. If you only need standard deviation and variance with a step-by-step deviation breakdown, the dedicated Standard Deviation Calculator is a more focused choice. If you only need mean, median, mode, and range, the dedicated Mean, Median, Mode & Range Calculator is simpler and faster to read. Use this page when you want the complete statistical picture at once.
This calculator uses the exclusive median method: it finds the overall median, then splits the sorted list into a lower half and an upper half. For an odd-length list, the median itself is excluded from both halves. Q1 is the median of the lower half, and Q3 is the median of the upper half. This is one of several valid quartile conventions, and it's the one most commonly taught in introductory statistics.
The IQR is Q3 − Q1 — the range of the middle 50% of your data. It's a spread measure that, unlike the full range, is not distorted by extreme outliers, which makes it useful for detecting outliers in the first place (values more than 1.5×IQR beyond Q1 or Q3 are commonly flagged as outliers).
Which one applies depends on whether your list is the entire group you care about (use population) or is only a sample drawn from a larger group (use sample). Showing both means you don't have to decide in advance — you can read off whichever is appropriate for your situation.
No practical limit — keep clicking "Add Number" to add as many rows as you need. Every statistic recomputes across the full list every time you press Calculate.